What is the meaning of having a 3 by 3 matrix with determinent 0. Both geometrically and algebriaclly.

The matrix is singular.

No inverse matrix.

Geometrically: No unique point of intersection of planes, Either no common point, a line of intersection or the three planes coincide.

Alegebriacally: No unique solution either no solution or infinetly many solutions.

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Answered by Rana M. Further Mathematics tutor

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